The linear \(\mathfrak{n}(1|N)\)-invariant differential operators and \(\mathfrak{n}(1|N)\)-relative cohomology

DOI10.5802/crmath.22OpenAlexW3012829125MaRDI QIDQ784330

Ismail Laraiedh, Hafedh Khalfoun

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.22

zbMATH Keywords

superpseudodifferential operatorsweighted densitiessupercircleHeisenberg Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Deformation quantization, star products (53D55) Pseudodifferential operators (47G30)

Cites Work

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• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\)
• Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
• On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2
• Exceptional N=6 superconformal algebra
• Conformal symbols and the action of contact vector fields over the superline
• THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ^1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY
• Lie superalgebras of string theories.

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